42682335168 has 112 divisors (see below), whose sum is σ = 123271214976. Its totient is φ = 12926223360.

The previous prime is 42682335103. The next prime is 42682335173. The reversal of 42682335168 is 86153328624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4161855 + ... + 4172097.

It is an arithmetic number, because the mean of its divisors is an integer number (1100635848).

Almost surely, 2^42682335168 is an apocalyptic number.

42682335168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42682335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61635607488).

42682335168 is an abundant number, since it is smaller than the sum of its proper divisors (80588879808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42682335168 is a wasteful number, since it uses less digits than its factorization.

42682335168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12242 (or 12232 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 42682335168 in words is "forty-two billion, six hundred eighty-two million, three hundred thirty-five thousand, one hundred sixty-eight".